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How can you say that the
Equations are consistent?
3x +24=11
2x+3y=4
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Consistent And Inconsistent Systems. i) If both the lines intersect at a point, then there exists a unique solution to the pair of linear equations. In such a case, the pair of linear equations is said to be consistent.
If a consistent system has exactly one solution, it is independent .
If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.
If a system has no solution, it is said to be inconsistent .
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Answer:
11-24= 3x
or, -13/3= X
Value of x= -13/3= 4⅓
3y= 4/-26/3
3y= 4×-3/26
3y= -12/26= -6/13
y= -6/13×1/3
y= -2/13
Value of y= -2/13
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